If the radius of the first Bohr orbit of a hydrogen atom is $a_0$, what is the radius of the first Bohr orbit of a $Li^{2+}$ ion?

The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen like ion. The atomic number $Z$ of hydrogen like ion is

Which of the following is NOT a limitation of Bohr's model?

The ratio of kinetic energy to potential energy of an electron in an atom is:

Which of the following correctly represents the relationship between the kinetic energy (KE), potential energy (PE), and total energy (TE) of an electron in a Bohr orbit?

Consider an electron in the ${n^{{\rm{th}}}}$ orbit of a hydrogen atom in the Bohr model. The circumference of the orbit can be expressed in terms of the de Broglie wavelength $\lambda$ of that electron as

The ground state energy of hydrogen atom is $- 13.6\,\,eV$. What is the potential energy of the electron in this state

How much work must be done to pull apart the electron and the proton that make up the Hydrogen atom, if the atom is initially in the state with $n = 2$

Given the value of Rydberg constants is ${\rm{1}}{{\rm{0}}^7}\,{{\rm{m}}^{ - 1}}$, the wave number of the last line of the Balmer series in hydrogen spectrum will be:

Bohr's model is applicable to:

The Bohr model is not applicable to which of the following?